2020/08/26 by Schwartz, Richard Evan
#FOS: Mathematics #Geometric Topology (math.GT) #Metric Geometry (math.MG)
paper · doi:10.48550/arxiv.2008.11610
In this paper we show that a smoothly and locally isometrically embedded Moebius band has aspect ratio at least √ 3-(1/26). (The actual bound, an algebraic number that arises in an optimization problem, is a tiny bit better.) Our bound improves significantly on the previous known lower bound of π/2.